742267 ÷ 25 
We want to figure out the number of times 742267 can be divided by 25.

On to step 1:
25 can be fit into 7 0 times, resulting in a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Include the next digit (4) from the dividend after 7, then repeat: 74 / 25

Step 2:
When dividing 74 by 25, we get 2 with a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 50 from 74 leaves us with 24.
Include the next digit (2) from the dividend after 24, then repeat: 242 / 25

On to step 3:
The number 25 fits into 242 9 times, leaving a remainder of 17.
Use 9 as the next digit of our solution. 
Result so far: 29.0
Subtract 225 from 242 to get 17.
Include the next digit (2) from the dividend after 17, then repeat: 172 / 25

Advancing to step 4:
172 divided by 25 is 6 with a remainder of 22.
Write down 6 as next digit of the result. 
Result so far: 296.0
If we subtract 150 from 172, we get 22.
Include the next digit (6) from the dividend after 22, then repeat: 226 / 25

Advancing to step 5:
The number 25 fits into 226 9 times, leaving a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 2969.0
If we subtract 225 from 226, we get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 25

Step 6:
If we divide 17 by 25, we get 0 and a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 29690.0
If we take 0 away from 17, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 7:
If we divide 170 by 25, we get 6 and a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 29690.6
If we subtract 150 from 170, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
25 goes into 200 8 times with a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 29690.68
Deduct 200 from 200 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
0 divided by 25 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 29690.68
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 10:
0 divided by 25 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 29690.68
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 29690.68 with a balance of 0.0.